Unformatted text preview: scribed frequency
distribution involving one variable only. Such frequency
distributions are called univariate frequency distribution. In many
situations simultaneous study of two variables become necessary.
For example, we want to classify data relating to the weights are
height of a group of individuals, income and expenditure of a group
of individuals, age of husbands and wives.
The data so classified on the basis of two variables give rise
to the so called bivariate frequency distribution and it can be
summarized in the form of a table is called bivariate (twoway)
frequency table.
While preparing a bivariate frequency
distribution, the values of each variable are grouped into various
classes (not necessarily the same for each variable) . If the data
corresponding to one variable, say X is grouped into m classes and
the data corresponding to the other variable, say Y is grouped into
n classes then the bivariate table will consist of mxn cells. By
going through the different pairs of the values, (X,Y) of the
variables and using tally marks we can find the frequency of each
62 cell and thus, obtain the bivariate frequency table. The formate of a
bivariate frequency table is given below:
Format of Bivariate Frequency table xseries ClassIntervals
Midvalues Marginal
Frequency
of Y MidValues Classintervals yseries fy Marginal
frequency of X fx Total
fx= fy=N Here f(x,y) is the frequency of the pair (x,y). The frequency
distribution of the values of the variables x together with their
frequency total (fx) is called the marginal distribution of x and the
frequency distribution of the values of the variable Y together with
the total frequencies is known as the marginal frequency
distribution of Y. The total of the values of manual frequencies is
called grand total (N)
Example 5:
The data given below relate to the height and weight of 20
persons. Construct a bivariate frequency table with class interval of
height as 6264, 6466… and weight as 115125,125135, write...
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 Winter '08
 Moshiri
 Business, Statistics

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